In a school orchestra, the ratio of girls to boys is 3 : 2. There are 75 students in the orchestra. How many boys are in the orchestra?

Answers

Answer 1
There are 3 girls to every 2 boys, so our equation is 3g+2b=75.

First we are going to do 3+2=5
Then 75/5=15
Then we want to put 15 where our variables are and solve the equation.
3(15)+2(15)=75
45 + 30 = 75

The equation is true, so the answer is that there is 45 girls and 30 boys
Answer 2

There were 30 boys in Orchestra.

We have,

Total students in Orchestra= 75

Ratio of Girls to Boys = 3 :2

So, Number of Girls in Orchestra

= 3/5 x 75

= 3 x 15

= 45

and, Number of Boys in Orchestra

= 2/5 x 75

= 2 x 15

= 30

Thus, 30 Boys were in Orchestra.

Learn more about Ratio here:

https://brainly.com/question/13419413

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Related Questions

Solve for p 6p-8n=12

Answers

Answer:

i need more information

Step-by-step explanation:

P=2+4n/3 is the correct answer to the question.

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? (1 point)

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers


it would be n = 1/2

Answer:

n = 1/2

Step-by-step explanation:

Brainliest?!


[tex]6 \div 3 + {9}^{2} - 4[/tex]
evaluate the following expression​

Answers

If you are using pemdas then it is 79

A store sells a pair of Wireless Beats Studio headphones for $350. If you have $150 and are selling candy bars for $3 each, how many candy bars must you sell in order to save enough money for the headphones? PLEASE HELP

Answers

Answer:

67 candy bars

Step-by-step explanation:

Given

Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = x

Required equation

3x + 150 = 3503x = 200x = 200/3x ≈ 67

Concepts:

Finding X

Answer: 67 candy bars

Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = unknown

3x + 150 = 350

3x ≈ 200

x = 200/3

x ≈ 67

Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 of the angelfish became sick 1/3
of the cichlid fish became sick
How many fish from Gregory's aquarium became sick?

Answers

Answer:

21 fish

Step-by-step explanation:

52/4=13

24/3=8

13+8=21

An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.​

Answers

Answer:

2 3/5, 1 2/5, 1/2

Step-by-step explanation:

batch 1 2.6= 2 3/5

batch 2 1.4= 1 2/5

batch 3 0.5= 1/2

a $260 suit price is marked down 10 % find the sale price

Answers

Answer:

260*0.90=sales price=234

Step-by-step explanation:

Step-by-step explanation: We first need to find the discount.

The formula for discount is shown below.

Original Price × Rate of Discount = Discount

So here, the original price is $260 and the

rate of discount is 10% off which we can write as .10.

So we multiply 260 by .20

260 x .10 gives us 26.

So the discount is $26.

Now let's find the sale price.

The formula for sale price is shown below.

Original Price - Discount = Sale Price

Since the original price is $260 ad the discount is $26,

we have 260 - 26 which gives us 234.

So the sale price of the suit is $234.

How do you factor 5x+10y+30z

Answers

Answer:

5(x+2y+6z)

Step-by-step explanation:

Answer:

5(x+2y+6z)

Step-by-step explanation:

Factor out 5 from the expression

Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?

Answers

Given:

Rachel used [tex]\dfrac{1}{3}[/tex] of her savings to buy brushes.

She used [tex]\dfrac{3}{5}[/tex] of her savings to buy paint.

To find:

The fraction for remaining savings.

Solution:

Fraction that Rachel used of her savings to buy brushes and paint is

[tex]\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}[/tex]

                                    [tex]=\dfrac{5+9}{15}[/tex]

                                    [tex]=\dfrac{14}{15}[/tex]

Now,

[tex]\text{Fraction for remaining savings}=1-\text{Fraction for used amount}[/tex]

[tex]\text{Fraction for remaining savings}=1-\dfrac{14}{15}[/tex]

[tex]\text{Fraction for remaining savings}=\dfrac{1}{15}[/tex]

Therefore, [tex]\dfrac{1}{15}[/tex] of her savings is remaining.

help, I've been stuck on this and I need help asap​

Answers

Which one the on number 1 ?
Its taking away 45 for each month just do that ten times :)

2x + 7 + 5x = 7 ( x + 8) how many solutions?

Answers

Answer:

no solution

Step-by-step explanation:

You can buy 3 apples at the quick market for $1.35. You can buy 5 of the same apples at stop and save for $1.00. Which place is the better buy

Answers

At the stop and save is better
Stop and save, :))))

Can anyone help with this question? Ty

Answers

Answer:

c

Step-by-step explanation:

What's on your Christmas List? Santas Listening~

Answers

Answer:

1. My gf with me ;)

2. Ps5

Step-by-step explanation:

THERE :)

Answer:

VR Headset

Neon Nail Polish

New Blankie

Money for a laptop (I almost have enough!)

Step-by-step explanation:

Bc y not

how does

h(x)=-(x-3)^2+4

compare to the graph

g(x)=x^2

Answers

Top equation opens down and the second opens up

What’s the temperature after t minutes plssss helppp

Answers

Answer:

what does T equal

Step-by-step explanation:

The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen

A 41ft by 6 ft

B 15ft by 6 ft

C 15ft by 18 ft

D 7.5 ft by 18 ft
Explanation is required

Answers

D because it’s division

What is the answer to y=-2/3x0+1

Answers

Answer:

1 is the answer to this question

A line passes through the point (8,4) and is parallel to 9x + 3y=12 . What is the equation of the line?

Answers

The answer is y= -3x+ 28
To find the slope of the original line and use the point slope formula y-y^1 =m(x-x^1) to find the parallel to 9x +3y=12

product and quotient rule ,differentiate each function with respect to x, in calculus
y = (-4x^5+4) * 5x^⁵

Answers

Answer:

[tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                              [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                            [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = (-4x^5 + 4)5x^5[/tex]

Step 2: Differentiate

Product Rule:                                                                                                    [tex]\displaystyle y' = \frac{d}{dx}[(-4x^5 + 4)]5x^5 + (-4x^5 + 4)\frac{d}{dx}[5x^5][/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]:                   [tex]\displaystyle y' = (5 \cdot -4x^{5 - 1} + 0)5x^5 + (-4x^5 + 4)(5 \cdot 5x^{5 - 1})[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = (-20x^4)5x^5 + (-4x^5 + 4)(25x^4)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = 5x^4 \bigg[ (-20x^4)x + (-4x^5 + 4)5 \bigg][/tex][Distributive Property] Distributive parenthesis:                                            [tex]\displaystyle y' = 5x^4 \bigg[ -20x^5 - 20x^5 + 20 \bigg][/tex]Combine like terms:                                                                                         [tex]\displaystyle y' = 5x^4(-40x^5 + 20)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Find the slope of the line through the points (13, 15) and (13, 19). Then find the slope of the line parallel and the line perpendicular.

Answers

Answer:

We must find the slope of the original line using slope formula*.

[tex]m = \frac{19 - 15}{13 - 13} = \frac{5}{0} = 0[/tex]

Because the given points have the same x-coordinate, the slope is 0.

Given that the original line doesn't have slope, the other two lines won't have one either.

Here is parallelogram ABCD:
Prove segment is AM congruent to segment CM.
Plz help me it’s due today

Answers

The proof of AM being congruent to CM is as follows:

Given that,

ABCD is the ║gm

Diagonals AC and BD with M as the intersection point.

To prove:

AM ≅ CM

Proof:

In ΔAMD and ΔBMC,

∠M = ∠M                   (∵ Common)

AD = BC                       (∵ opposite sides of ║gm are equal)

∠ADM = ∠CBM           (∵ Alternate angle)

∵ ΔAMD ≅ ΔBMC

Thus, AM ≅ CM      (using AAS property).

Learn more about 'Parallelogram' here:

brainly.com/question/1563728

PLEASE HELP MEE !!

Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?

Marcus will have a total of ____ dollars saved.

Answers

Answer:

764

Step-by-step explanation:

12x22=264+500=764

hope this helps

(−0.25x + 6) + (7.5x + 6.4)

Answers

Answer:

(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65

Step-by-step explanation:

19.65 is the answer

If you need the simplified equation it is the following;

7.25x + 12.4

Calvin Butterball earns $400 working at the supermarket to help pay his share of a vacation trip with Phoebe Small's family. To supplement his earnings, Calvin's mother will give him an additional 20% of what he earns and his father will give him an additional 30% of what he earns. a. How much will he get from each parent?

Answers

Answer:

Mother = $80

Father = $120

Step-by-step explanation:

Given that :

Earning = $400

Amount gotten from mother = 20% of earning

Amount gotten from father = 30% of earning

Amount gotten from each parent :

MOTHER :

0.2 * $400 = $80

FATHER :

0.3 * $400 = $120

Rachel shared 50 peanuts equally among his 4 sisters. How many peanuts did Rachel have left after he gave his sisters their share?

Answers

If he shared it with the five of them, that means you have to do 50/5. This gives you 10.

Your answer is 10 peanuts.

Answer:

This the best I got. Hope it helps! ( found a faster way to backspace when ur typing lol) (ctrl+backspace)

Step-by-step explanation:

50 divided by 4

50/4

= 13.

a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?

Answers

Answer:

18ft

Step-by-step explanation:

AC = CD = BA

CD = 2CE

BD = BA + AC + CD = 2CE + 2CE + 2CE

= 6CE

CE = 3

6 × 3 = 18

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?

Answers

Answer:

66

Step-by-step explanation:

Answer:

2 games were bowled per day

Step-by-step explanation:

Saturday:  Shoes: $3 : Game: $4.50

Sunday: Shoes: $6 : Game $3

Saturday: total for 1 game: $7.50 .... 2 games: 12

Sunday: total for 1 game: 9 .... 2 games 12

Both days you bowled two games

2 after a long morning of sledding, Mrs.Fieldhouse made a batch of hot cocoa for her daughter and neighborhood friends. She divided it among 8 mugs. Each mug has more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation

Answers

Answer:

[tex]\frac{x}{8}>9[/tex]

Step-by-step explanation:

step one:

given

we can say that the total amount of cocoa made by Mrs.Fieldhouse is

x ounces

Step two:

Since the total batch which is x ounces was divided into 8 mugs

then the expression is x/8

The inequality for the situation is

[tex]\frac{x}{8}>9[/tex]

Someone help
What is 3.5=12s-55

Answers

Answer:

4.875 = s

Step-by-step explanation:

3.5=12s-55

Add 55 to each side

3.5+55=12s-55+55

58.5 = 12s

Divide each side by 12

58.5/12 = 12s/12

4.875 = s

Answer:

s = 4.875

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3.5 = 12s - 55

Step 2: Solve for s

Add 55 to both sides:                    58.5 = 12sDivide 12 on both sides:                4.875 = sRewrite:                                           s = 4.875

Step 3: Check

Plug in s into the original equation to verify it's a solution.

Substitute in s:                    3.5 = 12(4.875) - 55Multiply:                               3.5 = 58.5 - 55Subtract:                              3.5 = 3.5

Here we see that 3.5 does indeed equal 3.5.

∴ s = 4.875 is a solution of the equation.

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